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Computational Methods in Stochastic Dynamics
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SYSNO ASEP 0353311 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title Auto-parametric Stability Loss and Post-critical Behaviour of a Three Degrees of Freedom System Author(s) Náprstek, Jiří (UTAM-F) RID, ORCID, SAI
Fischer, Cyril (UTAM-F) RID, SAI, ORCIDNumber of authors 2 Source Title Computational Methods in Stochastic Dynamics. - Dordrecht, Heidelberg, London, New York : Springer, 2011 / Papadrakakis Manolis ; Stefanou George ; Papadopoulos Vissarion - ISBN 978-90-481-9986-0 Pages s. 267-290 Number of pages 23 Number of copy 2000 Number of pages 296 Language eng - English Country NL - Netherlands Keywords computational mechanics ; inverted pendulum ; autoparametric system Subject RIV JM - Building Engineering R&D Projects IAA200710805 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA103/09/0094 GA ČR - Czech Science Foundation (CSF) IAA200710902 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z20710524 - UTAM-F (2005-2011) Annotation Slender structures exposed to a strong vertical component of an earthquake excitation are endangered by auto-parametric resonance effect. If an amplitude of a vertical harmonic excitation in a structure foundation exceeds a certain limit, vertical response at the top ot the structure looses its stability and a dominant horizontal response component arises. Qualitatively different post-critical response types have been detected when sweeping throughout the frequency interval beyond the stability limit. Deterministic as well as chaotic response types have been observed. In general they can occur in a steady state, quasi-periodic and completely undetermined regimes including a possible energy transflux among degrees of freedom. Workplace Institute of Theoretical and Applied Mechanics Contact Kulawiecová Kateřina, kulawiecova@itam.cas.cz, Tel.: 225 443 285 Year of Publishing 2011
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